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Non Existence of Some Generalized Bent Functions 被引量:3
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作者 KeQinFENG FengMeiLIU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2003年第1期39-50,共12页
Several new results on the non-existence of some generalized bent functions are proved by using properties of the decomposition law of primes in cyclotomic fields and properties of the solutions of some special Diopha... Several new results on the non-existence of some generalized bent functions are proved by using properties of the decomposition law of primes in cyclotomic fields and properties of the solutions of some special Diophantine equations. 展开更多
关键词 generalized bent function Gauss sum Cyclotomy
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The Relationship between the Nonexistence of Generalized Bent Functions and Diophantine Equations
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作者 Feng Mei LIU Qin YUE 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第6期1173-1186,共14页
Two new results on the nonexistence of generalized bent functions are presented by using properties of the decomposition law of primes in cyclotomic fields and properties of solutions of some Diophantine equations, an... Two new results on the nonexistence of generalized bent functions are presented by using properties of the decomposition law of primes in cyclotomic fields and properties of solutions of some Diophantine equations, and examples satisfying our results are given. 展开更多
关键词 generalized bent function integral basis Diophantine equation
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